We are at the dawn of unconventional superconductivity. After a brief surve
y on some of the unconventional superconductors, we describe some salient f
eatures of the vortex state in d-wave superconductivity as in the hole dope
d high T-c cuprates and in p-wave superconductivity in recently discovered
Sr2RuO4. (C) 1999 Elsevier Science B.V. All rights reserved.